US20160303472A1 - Polygon puzzle and related methods - Google Patents

Polygon puzzle and related methods Download PDF

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Publication number
US20160303472A1
US20160303472A1 US15/192,923 US201615192923A US2016303472A1 US 20160303472 A1 US20160303472 A1 US 20160303472A1 US 201615192923 A US201615192923 A US 201615192923A US 2016303472 A1 US2016303472 A1 US 2016303472A1
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Prior art keywords
puzzle
geometric shape
sides
pieces
shape
Prior art date
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Abandoned
Application number
US15/192,923
Inventor
Rebecca Klemm
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Individual
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Individual
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Filing date
Publication date
Priority claimed from US14/166,385 external-priority patent/US9403084B2/en
Application filed by Individual filed Critical Individual
Priority to US15/192,923 priority Critical patent/US20160303472A1/en
Publication of US20160303472A1 publication Critical patent/US20160303472A1/en
Abandoned legal-status Critical Current

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    • A—HUMAN NECESSITIES
    • A63—SPORTS; GAMES; AMUSEMENTS
    • A63F—CARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
    • A63F9/00—Games not otherwise provided for
    • A63F9/06—Patience; Other games for self-amusement
    • A63F9/10—Two-dimensional jig-saw puzzles
    • A—HUMAN NECESSITIES
    • A63—SPORTS; GAMES; AMUSEMENTS
    • A63F—CARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
    • A63F9/00—Games not otherwise provided for
    • A63F9/06—Patience; Other games for self-amusement
    • A63F9/0666—Patience; Other games for self-amusement matching elementary shapes to corresponding holes
    • G—PHYSICS
    • G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B19/00—Teaching not covered by other main groups of this subclass
    • G09B19/02—Counting; Calculating
    • G—PHYSICS
    • G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G—PHYSICS
    • G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
    • G—PHYSICS
    • G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
    • G09B23/04—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics for geometry, trigonometry, projection or perspective

Definitions

  • This patent application relates generally to puzzles, and more specifically, to an educational puzzle and related methods.
  • One embodiment of the invention relates to a puzzle comprising at least one set of a plurality puzzle pieces, all of the puzzle pieces within the at least one set having a geometric shape with the same number of sides and adapted to fit together to form an equilateral or non-equilateral geometric shape having the same number of sides as each component puzzle piece.
  • the geometric shape has at least five sides.
  • Another embodiment concerns a method of assembling a puzzle comprising: providing at least one set of a plurality puzzle pieces, all of the puzzle pieces within the at least one set having a geometric shape with the same number of sides and fitting them together to form an equilateral or non-equilateral geometric shape having the same number of sides as each component puzzle piece.
  • the puzzle pieces can bear a mathematical correlation to the geometric shape which the puzzle piece form.
  • the mathematical correlation is that the puzzle pieces have different shapes from each other and from the corresponding geometric shape to be formed. Also, the puzzle pieces have the same number of sides as the corresponding geometric shape to be formed.
  • FIG. 1 is a perspective view of an embodiment of a puzzle according to the present invention.
  • FIG. 2 is a perspective view of a set of puzzles of varying geometric shapes.
  • the shape may be pentagonal and consist of pieces 21 , 22 , 23 , 24 , 25 , 26 or it may assume any of the shapes depicted in FIG. 2 .
  • Each of the pieces 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 can have a different geometric shape, for example, with different amounts of “sides” or edges defining the geometric shape; e.g., hexagon, heptagon, octagon, nonagon, and decagon, among many others.
  • Each of the puzzle pieces can have a different geometric shape from each other, for example, with different amounts of “sides” or edges defining the geometric shape.
  • the number of sides or edges of the puzzle piece is equal to the number of sides of the geometric shape to be formed with the puzzle pieces.
  • the number of sides of the shape should at least be five.
  • each puzzle piece can define an outer periphery that has the same, or substantially the same, shape as the outer periphery of the corresponding geometric shape.
  • the geometric shape is a pentagon, 10 .
  • Puzzle pieces 21 , 22 , 23 , 24 , 25 and 26 individually, do not mirror the specific shape of the pentagon, 10 .
  • the pieces 21 , 22 , 23 , 24 , 25 and 26 have the same number of sides as the geometric shape, 10 .
  • the user after recognizing puzzle pieces with the same number of sides as the geometric shape 10 , can manipulate the pieces 21 , 22 , 23 , 24 , 25 and 26 to form the geometric shape, as shown in FIG. 2 .
  • the pieces fit together or mate with one another.
  • the puzzle pieces have a different shape from the geometric shape to the formed but have the same number of sides as the corresponding geometric shape.
  • the invention provides that any equilateral polygon of n sides, where n is greater than or equal to five, can be deconstructed into k polygons of n sides, where k is greater than or equal to 1.
  • N and K are integers.
  • the puzzle and its various parts can be constructed using any number of techniques in the art.
  • embodiments can be constructed from paper, cardboard, plastic, or wood.
  • embodiments can be implemented in electronic form, such as an internet-based format, a smartphone app, or a computer program, where the various parts of the puzzle are depicted on the screen of a computer, tablet, smartphone, or other device. Accordingly, the invention should not be limited to embodiment in any specific form or media.
  • the various mathematical relationships described above can be used to guide the players in assembling the puzzle. For example, the players can count the number of sides or points on each puzzle piece to determine which puzzle the piece fits into.
  • the pieces may have an image of a bug, animal, number, object, or other item that includes the same number of certain parts (e.g., legs) as the sides of the geometric shape to be formed.
  • certain parts e.g., legs
  • the various mathematical relationships described above can be used to guide the players in assembling the puzzle or geometrical shape 10 .
  • the players can count the number of sides or points on each puzzle piece to determine which geometric shape is to be formed.
  • the shape alone of the geometric shape and puzzle pieces can also be used to guide the player in assembling the puzzle 10 .

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  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Physics (AREA)
  • Business, Economics & Management (AREA)
  • Educational Administration (AREA)
  • Educational Technology (AREA)
  • Theoretical Computer Science (AREA)
  • Algebra (AREA)
  • Multimedia (AREA)
  • Geometry (AREA)
  • Entrepreneurship & Innovation (AREA)
  • Toys (AREA)

Abstract

A puzzle, comprising at least one set of a plurality puzzle pieces, each of the puzzle pieces within the at least one set having a geometric shape with the same number of sides; and the set of pieces being adapted to fit together to form an equilateral or non-equilateral geometric shape having the same number of sides as each component puzzle piece, and a method of assembling a puzzle.

Description

    RELATED APPLICATIONS
  • This application is a continuation-in-part of U.S. patent application Ser. No. 14/166,385, the benefit of the filing date of which is claimed herein and the entire contents and disclosure of which is incorporated herein by reference.
    • TECHNICAL FIELD
  • This patent application relates generally to puzzles, and more specifically, to an educational puzzle and related methods.
    • SUMMARY
  • One embodiment of the invention relates to a puzzle comprising at least one set of a plurality puzzle pieces, all of the puzzle pieces within the at least one set having a geometric shape with the same number of sides and adapted to fit together to form an equilateral or non-equilateral geometric shape having the same number of sides as each component puzzle piece. The geometric shape has at least five sides.
  • Another embodiment concerns a method of assembling a puzzle comprising: providing at least one set of a plurality puzzle pieces, all of the puzzle pieces within the at least one set having a geometric shape with the same number of sides and fitting them together to form an equilateral or non-equilateral geometric shape having the same number of sides as each component puzzle piece.
  • According to embodiments, some aspect of the present invention, the puzzle pieces can bear a mathematical correlation to the geometric shape which the puzzle piece form. The mathematical correlation is that the puzzle pieces have different shapes from each other and from the corresponding geometric shape to be formed. Also, the puzzle pieces have the same number of sides as the corresponding geometric shape to be formed.
    • BRIEF DESCRIPTION OF THE DRAWINGS
  • The features and advantages of the invention will be apparent from the following description, as illustrated in the accompanying drawings wherein like reference numbers generally indicate identical, functionally similar, and/or structurally similar elements.
  • FIG. 1 is a perspective view of an embodiment of a puzzle according to the present invention.
  • FIG. 2 is a perspective view of a set of puzzles of varying geometric shapes.
    •  DETAILED DESCRIPTION
  • Embodiments of the invention are discussed in detail below. In describing embodiments, specific terminology is employed for the sake of clarity. However, the invention is not intended to be limited to the specific terminology so selected.
  • While specific embodiments are discussed, it should be understood that this is done for illustration purposes only. A person skilled in the relevant art will recognize that other components and configurations can be used without departing from the spirit and scope of the invention.
  • The invention described herein differs from that described in the parent application primarily in that whereas the latter requires a puzzle board, the former does not
  • Referring to FIGS. 1-2, embodiments of puzzles 10 according to the present invention are shown. As shown in FIG. 1, the shape may be pentagonal and consist of pieces 21, 22, 23, 24, 25, 26 or it may assume any of the shapes depicted in FIG. 2. Each of the pieces 31, 32, 33, 34, 35, 36, 37, 38, 39 can have a different geometric shape, for example, with different amounts of “sides” or edges defining the geometric shape; e.g., hexagon, heptagon, octagon, nonagon, and decagon, among many others. Each of the puzzle pieces can have a different geometric shape from each other, for example, with different amounts of “sides” or edges defining the geometric shape. The number of sides or edges of the puzzle piece is equal to the number of sides of the geometric shape to be formed with the puzzle pieces. The number of sides of the shape should at least be five. When the puzzle pieces are manipulated and arranged together, they form the corresponding geometric shape with the same number of sides of each of the puzzle pieces that form the geometric shape.
  • One of ordinary skill in the art will understand based on this disclosure that the invention is not limited to any specific shape or configuration of puzzle, or number, shape, and appearance of puzzle pieces. The puzzle pieces are adapted such that they are not required to fit into a cutout. Rather, each puzzle piece can define an outer periphery that has the same, or substantially the same, shape as the outer periphery of the corresponding geometric shape. For example, as shown in FIG. 2, the geometric shape is a pentagon, 10. Puzzle pieces 21,22, 23, 24, 25 and 26, individually, do not mirror the specific shape of the pentagon, 10. Rather, the pieces 21,22, 23, 24, 25 and 26 have the same number of sides as the geometric shape, 10. The user, after recognizing puzzle pieces with the same number of sides as the geometric shape 10, can manipulate the pieces 21,22, 23, 24, 25 and 26 to form the geometric shape, as shown in FIG. 2. The pieces fit together or mate with one another. The puzzle pieces have a different shape from the geometric shape to the formed but have the same number of sides as the corresponding geometric shape. The invention provides that any equilateral polygon of n sides, where n is greater than or equal to five, can be deconstructed into k polygons of n sides, where k is greater than or equal to 1. N and K are integers.
  • The puzzle and its various parts can be constructed using any number of techniques in the art. For example, embodiments can be constructed from paper, cardboard, plastic, or wood. Alternatively, embodiments can be implemented in electronic form, such as an internet-based format, a smartphone app, or a computer program, where the various parts of the puzzle are depicted on the screen of a computer, tablet, smartphone, or other device. Accordingly, the invention should not be limited to embodiment in any specific form or media. The various mathematical relationships described above can be used to guide the players in assembling the puzzle. For example, the players can count the number of sides or points on each puzzle piece to determine which puzzle the piece fits into.
  • Other mathematical relationships may be used to correlate the puzzle pieces and the corresponding geometric shape. For example, and without limitation, the pieces may have an image of a bug, animal, number, object, or other item that includes the same number of certain parts (e.g., legs) as the sides of the geometric shape to be formed. One of ordinary skill in the art will appreciate based on this disclosure that a variety of different shapes or images can be used to correlate the puzzle pieces with the corresponding geometric shape.
  • The various mathematical relationships described above can be used to guide the players in assembling the puzzle or geometrical shape 10. For example, the players can count the number of sides or points on each puzzle piece to determine which geometric shape is to be formed. The shape alone of the geometric shape and puzzle pieces can also be used to guide the player in assembling the puzzle 10.
  • The embodiments illustrated and discussed in this specification are intended only to teach those skilled in the art the best way known to the inventors to make and use the invention. Nothing in this specification should be considered as limiting the scope of the present invention. All examples presented are representative and non-limiting. The above-described embodiments of the invention may be modified or varied, without departing from the invention, as appreciated by those skilled in the art in light of the above teachings. It is therefore to be understood that, within the scope of the claims and their equivalents, the invention may be practiced otherwise than as specifically described.

Claims (10)

1. A puzzle, comprising:
at least one set of a plurality puzzle pieces, each of the puzzle pieces within the at least one set having a geometric shape with the same number of sides; and
said set of pieces being adapted to fit together to form a geometric shape having the same number of sides as each component puzzle piece, wherein the plurality of puzzle pieces have at least five sides.
2. The puzzle of claim 1, wherein the geometric shape is selected from the group comprising pentagon, hexagon, heptagon, octagon, nonagon, decagon or a polygon with at least five sides.
3. The puzzle of claim 1, wherein the puzzle pieces feature puzzle piece shapes, wherein the puzzle piece shape is not identical to the geometric shape.
4. The puzzle of claim 1, wherein the geometric shape is an equilateral geometric shape.
5. The puzzle of claim 1, wherein the geometric shape is a non-equilateral geometric shape.
6. A method of assembling a puzzle comprising:
providing at least one set of a plurality puzzle pieces, each of the puzzle pieces within the at least one set having a geometric shape with the same number of sides, and
fitting the plurality of puzzle pieces together to form a geometric shape having the same number of sides as each component puzzle piece, wherein the plurality of puzzle pieces have at least five sides.
7. The method of claim 6, wherein the geometric shape is selected from the group comprising pentagon, hexagon, heptagon, octagon, nonagon, decagon or a polygon with at least five sides.
8. The method of claim 6, wherein the puzzle pieces feature puzzle piece shapes, wherein the puzzle piece shape is not identical to the geometric shape.
9. The method of claim 6, wherein the geometric shape is an equilateral geometric shape.
10. The method of claim 6, wherein the geometric shape is a non-equilateral geometric shape.
US15/192,923 2014-01-28 2016-06-24 Polygon puzzle and related methods Abandoned US20160303472A1 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
US15/192,923 US20160303472A1 (en) 2014-01-28 2016-06-24 Polygon puzzle and related methods

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US14/166,385 US9403084B2 (en) 2014-01-28 2014-01-28 Polygon puzzle and related methods
US15/192,923 US20160303472A1 (en) 2014-01-28 2016-06-24 Polygon puzzle and related methods

Related Parent Applications (1)

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US14/166,385 Continuation-In-Part US9403084B2 (en) 2014-01-28 2014-01-28 Polygon puzzle and related methods

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Citations (30)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US232140A (en) * 1880-09-14 Geometrical puzzle-block
US1261710A (en) * 1917-05-12 1918-04-02 John Henry Coyle Right-triangle puzzle.
US1565099A (en) * 1925-03-11 1925-12-08 Nierodka John Geometrical puzzle
US1630530A (en) * 1924-09-15 1927-05-31 Fryer Richard Puzzle
US2885207A (en) * 1951-12-11 1959-05-05 Wormser Arthur Geometrical puzzle game
US2901256A (en) * 1954-10-13 1959-08-25 Elwood J Way Pentagonal block puzzle
US3178186A (en) * 1962-09-28 1965-04-13 Lee Yih-Hung Three-way dissection puzzle
US3981505A (en) * 1973-03-01 1976-09-21 Odier Marc G Puzzle with irregular pentagonal pieces
US4138116A (en) * 1977-11-08 1979-02-06 Siders Jr Worthy G Puzzle assembly
US4223890A (en) * 1979-04-30 1980-09-23 Schoen Alan H Set of tiles for covering a surface
US4343471A (en) * 1981-06-22 1982-08-10 Calvert Murray B Pentagonal puzzle
US4350341A (en) * 1981-06-18 1982-09-21 John Wallace Surface covering tiles
US4365809A (en) * 1981-03-09 1982-12-28 Barry Dixie B Three-figure dissection puzzle
USD275301S (en) * 1981-11-27 1984-08-28 Cloud C Carey Puzzle
US4531741A (en) * 1984-06-27 1985-07-30 Eskina David A Puzzle
US4561097A (en) * 1984-10-09 1985-12-24 Florence Siegel Puzzle formed of geometric pieces having an even number of equilateral sides
US4773649A (en) * 1987-05-12 1988-09-27 Tien-Tsai Huang Pieces assembable to form regular hexagons and other figures
US4913436A (en) * 1988-11-25 1990-04-03 Li Shuo Yen R Puzzles and game based on geometric shapes
US5314183A (en) * 1993-03-17 1994-05-24 Schoen Alan H Set of tiles for covering a surface
US5873729A (en) * 1997-02-19 1999-02-23 Aghevli; Behrouz B. Mathematical triangle kit and method of use
USD432592S (en) * 1999-06-29 2000-10-24 Chung Lun Yip Set of puzzles and their pieces
US6357747B1 (en) * 2000-11-28 2002-03-19 Wen-Shan Kao Eighteen-piece pro-tangram tiling puzzles
US20060232006A1 (en) * 2005-04-15 2006-10-19 Chih-Chung Fang Intelligence jigsaw puzzle
US20070262521A1 (en) * 2006-05-12 2007-11-15 Williams Sonoma, Inc. Learning puzzle of geometric shapes
US20080116637A1 (en) * 2006-11-20 2008-05-22 Seals Calvin L Rhombus twelve manipulation game
US20090020947A1 (en) * 2007-07-17 2009-01-22 Albers John H Eight piece dissection puzzle
US20150194061A1 (en) * 2012-10-17 2015-07-09 Pascal Co., Ltd. Figure plate set
USD737905S1 (en) * 2014-01-28 2015-09-01 Rebecca Klemm Puzzle
US9403084B2 (en) * 2014-01-28 2016-08-02 Rebecca Klemm Polygon puzzle and related methods
US20160284237A1 (en) * 2015-03-23 2016-09-29 Dong-sik CHA Twelve-piece tangram puzzle set

Patent Citations (30)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US232140A (en) * 1880-09-14 Geometrical puzzle-block
US1261710A (en) * 1917-05-12 1918-04-02 John Henry Coyle Right-triangle puzzle.
US1630530A (en) * 1924-09-15 1927-05-31 Fryer Richard Puzzle
US1565099A (en) * 1925-03-11 1925-12-08 Nierodka John Geometrical puzzle
US2885207A (en) * 1951-12-11 1959-05-05 Wormser Arthur Geometrical puzzle game
US2901256A (en) * 1954-10-13 1959-08-25 Elwood J Way Pentagonal block puzzle
US3178186A (en) * 1962-09-28 1965-04-13 Lee Yih-Hung Three-way dissection puzzle
US3981505A (en) * 1973-03-01 1976-09-21 Odier Marc G Puzzle with irregular pentagonal pieces
US4138116A (en) * 1977-11-08 1979-02-06 Siders Jr Worthy G Puzzle assembly
US4223890A (en) * 1979-04-30 1980-09-23 Schoen Alan H Set of tiles for covering a surface
US4365809A (en) * 1981-03-09 1982-12-28 Barry Dixie B Three-figure dissection puzzle
US4350341A (en) * 1981-06-18 1982-09-21 John Wallace Surface covering tiles
US4343471A (en) * 1981-06-22 1982-08-10 Calvert Murray B Pentagonal puzzle
USD275301S (en) * 1981-11-27 1984-08-28 Cloud C Carey Puzzle
US4531741A (en) * 1984-06-27 1985-07-30 Eskina David A Puzzle
US4561097A (en) * 1984-10-09 1985-12-24 Florence Siegel Puzzle formed of geometric pieces having an even number of equilateral sides
US4773649A (en) * 1987-05-12 1988-09-27 Tien-Tsai Huang Pieces assembable to form regular hexagons and other figures
US4913436A (en) * 1988-11-25 1990-04-03 Li Shuo Yen R Puzzles and game based on geometric shapes
US5314183A (en) * 1993-03-17 1994-05-24 Schoen Alan H Set of tiles for covering a surface
US5873729A (en) * 1997-02-19 1999-02-23 Aghevli; Behrouz B. Mathematical triangle kit and method of use
USD432592S (en) * 1999-06-29 2000-10-24 Chung Lun Yip Set of puzzles and their pieces
US6357747B1 (en) * 2000-11-28 2002-03-19 Wen-Shan Kao Eighteen-piece pro-tangram tiling puzzles
US20060232006A1 (en) * 2005-04-15 2006-10-19 Chih-Chung Fang Intelligence jigsaw puzzle
US20070262521A1 (en) * 2006-05-12 2007-11-15 Williams Sonoma, Inc. Learning puzzle of geometric shapes
US20080116637A1 (en) * 2006-11-20 2008-05-22 Seals Calvin L Rhombus twelve manipulation game
US20090020947A1 (en) * 2007-07-17 2009-01-22 Albers John H Eight piece dissection puzzle
US20150194061A1 (en) * 2012-10-17 2015-07-09 Pascal Co., Ltd. Figure plate set
USD737905S1 (en) * 2014-01-28 2015-09-01 Rebecca Klemm Puzzle
US9403084B2 (en) * 2014-01-28 2016-08-02 Rebecca Klemm Polygon puzzle and related methods
US20160284237A1 (en) * 2015-03-23 2016-09-29 Dong-sik CHA Twelve-piece tangram puzzle set

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